Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 15, Problem 10P
To determine
Mass and type of companion star and observational proof to support the hypothesis.
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Astronomers discover a binary system with a period of 90 days. Both stars have a mass
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Double stars are stars which are close enough and move slowly enough that they orbit each other. Each star is located at the focus of the ellipse of its orbit around the other star.
Consider a binary star system which has an average angular separation of 6.1" arc and a period of 87.3 years. The annual parallax of the stars, p, is 0.192"arc.
We call the measure of the angular separation of the two stars, . [remember that 1 degree is divided into 60 'arc (read this as 60 minutes of arc) and each 1'arc is subdivided into 60"arc (read this as 60 seconds of arc)]. The distance to the binarystar system is calculated from its parallax , p, of 0.192"arc, which has been measured carefully over a period of the last 92 years. First we must calculate the distance to the binary system:
D = 1/p where p is the parallax in seconds of arc giving D in parsecs.
The distance, D = 1/p = ________ pc
How many light years does this correspond to? (remember that 1 pc = 3.26 lt yr) D (in light…
A cepheid star is located at a distance of 18.7kpc from the Earth and has an apparent visual magnitude of 13.1. Determine its pulsation period in days.
Consider the following expression of the Leavitt relation
MV=−2.78logPdays−1.35��=−2.78log�days−1.35,
where MV�� is the absolute visual magnitude and Pdays�days the pulsation period in days to 2 decimal places.
Chapter 15 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 15 - Prob. 1QFRCh. 15 - Prob. 2QFRCh. 15 - Prob. 3QFRCh. 15 - Prob. 4QFRCh. 15 - Prob. 5QFRCh. 15 - Prob. 6QFRCh. 15 - Prob. 7QFRCh. 15 - Prob. 8QFRCh. 15 - Prob. 9QFRCh. 15 - Prob. 10QFR
Ch. 15 - Prob. 11QFRCh. 15 - Prob. 12QFRCh. 15 - Prob. 13QFRCh. 15 - What is nonthermal radiation?Ch. 15 - What happens when a gravitational wave moves? What...Ch. 15 - What is a black hole? Are they truly black? What...Ch. 15 - Prob. 17QFRCh. 15 - Prob. 18QFRCh. 15 - Prob. 19QFRCh. 15 - Prob. 20QFRCh. 15 - Prob. 1TQCh. 15 - Prob. 2TQCh. 15 - Prob. 3TQCh. 15 - Prob. 5TQCh. 15 - Prob. 6TQCh. 15 - Prob. 7TQCh. 15 - Prob. 8TQCh. 15 - Suppose you jumped into a black hole feet first....Ch. 15 - Prob. 10TQCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 15 - Prob. 1TYCh. 15 - Prob. 2TYCh. 15 - Prob. 3TYCh. 15 - Prob. 4TYCh. 15 - Prob. 5TYCh. 15 - Prob. 6TYCh. 15 - What evidence leads astronomers to believe that...Ch. 15 - (15.3) The Schwarzschild radius of a body is (a)...Ch. 15 - Prob. 9TYCh. 15 - Prob. 10TY
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- You measure a star to have a parallax angle of 0.12 arc-seconds What is the distance to this star in parsecs? 8.33 Hint: d = 1/p What is the parallax angle of a different star that is twice as far away as the star from the previous problems? [answer in arc-seconds without including the unit]arrow_forward= 2000 K and a radius of R, A young recently formed planet has a surface temperature T Jupiter radii (where Jupiter's radius is 7 x 107 m). Calculate the luminosity of the planet and 2 determine the ratio of the planet's luminosity to that of the Sun.arrow_forwardGiven that a pair of stars are found to be orbiting each other with a period of 11.86 [yrs] and a separation of 5.2 [AU], what is the binary star system's total mass (i.e.- M1+M2) expressed in units of our Sun's mass? a) 61.7 b) 39.5 c) .0162 d) 1 e) 1.0 x 10^30arrow_forward
- In a binary star system, two stars orbit about their common centre of mass, as shown in figure. If 12 = 2r1, what is the ratio of the masses m2/m, of the two stars? CM m2 2arrow_forwarda double line The velocity curve for spectroscopic binary is shown in the sketch. The system is viewed edge-on, i.e., with an inclination angle of i = 90°, so that the maximum possible Doppler shifts for this system are observed. 400 U, Aini 300 200 oo - v Ain i 100 -100 -200 -300 400 o 1 2 3 +s 7 8 10 Time (daye) Find the orbital period of this binary in days. Doppler Velocity (2esun)arrow_forwardDetermining the orbit of the two stars of Kepler-34, also called A and B. These two stars together are called a binary. A) Assume that star A has a mass of 1 solar mass and star B also has a mass of 1 solar mass. The semi major axis is 0.23 AU and the eccentricty is 0.53. What is the orbital period of the stellar A-B binary in days? Ignore the (much less massive) planet and focus on the orbit of the binary. B) Now let's consider the orbit of the planet, called "b". Since the planet orbits some distance away from the stars, it is an acceptable approximation to pretend like the stellar binary is like a single star with a mass that is the sum of the masses of stars A and B and that the mass of planet "b" is very small, calculate the semi-major axis in AU of the planet's orbit with a period of 289 days. (note: I think for this problem you are supposed to use Newton's version of Kepler's third law P2= 4π2/G(M1-M2)x a3 but, I'm not sure if that's the right thing to do). 1 solar mass= 2 x…arrow_forward
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